Relations between the Kahler cone and the balanced cone of a Kahler manifold

Abstract

In this paper, we consider a natural map from the Kahler cone to the balanced cone of a Kahler manifold. We study its injectivity and surjecticity. We also give an analytic characterization theorem on a nef class being Kahler.

Some corrects have been made

References in corpus (4)

• The Monge-Ampère equation for (n-1)-plurisubharmonic functions on a compact Kähler manifold
• Limits of Calabi-Yau metrics when the Kahler class degenerates
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Form-type Calabi-Yau equations on Kähler manifolds of nonnegative orthogonal bisectional curvature

Cited by in corpus (2)

• The Monge-Ampère equation for (n-1)-plurisubharmonic functions on a compact Kähler manifold
• On strongly Gauduchon metrics of compact complex manifolds